GNU Collaborative International Dictionary of English

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Found one definition

1.       
   coattails n. pl. [fig.] the influence of another person; the effect of association with another person; as, “he was elected to office on the president's coattails”.
   
   [PJC]
   
   on the coattails of (a) helped by association with another person. See coattails.  (b) caused by, or immediately following (an event).
   
   [PJC]